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Finding the Fourth Proportional to 8,145.67, 11,241.53 and 4,560.56

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Solution

The fourth proportional to 8,145.67, 11,241.53 and 4,560.56 is: 6,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.67 : 11,241.53 = 4,560.56 : x
  2. Step 2: Convert to fraction form
    8,145.67/11,241.53 = 4,560.56/x
  3. Step 3: Cross multiply
    8,145.67x = 11,241.53 × 4,560.56
  4. Step 4: Simplify right side
    8,145.67x = 51,267,672.06
  5. Step 5: Solve for x
    x = 51,267,672.06/8,145.67
  6. Step 6: Final answer
    x = 6,293.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.